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⣩⠦⡘⠣⣁⠤⠙⢢⢍⠢⣑⠰⢎⡁⠢⢌⠣⠆⣉⠤⢘⠡⢢⡌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠁⡰⠎⢀⡰⠘⠡⢂⠌⠠⢌⡃⠄⠑⢠⠜⢂⡁⠂⢀⠰⡃⠄⡐⠌⢃⠄⠂⡁⠄⠂⢐⠡⡠⠌⢁⠠⠐⡈⠄⠈⠰⠅⠂⣁⠄⠈⠂⠀⢈⠠⠐⢈ ⢊⢣⡔⢊⡑⠥⡊⡔⠚⣡⠴⡊⠅⢊⡑⢃⢨⡜⠑⢢⡄⠘⢣⡄⠜⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡘⠆⣉⡠⠜⡊⠄⠃⢀⠰⢊⡡⠐⢨⠐⢨⡐⠂⣈⠡⢂⡐⠢⢑⠠⡐⠌⠂⡐⢈⡜⠂⢅⡈⠐⢈⠠⠐⢊⠄⡐⠡⢂⠡⠄⠀⢈⠄⠈⡐⠆⠀ ⢩⢱⠦⢁⡰⠹⢎⣡⠖⣈⠸⢑⡠⠖⡉⠲⢌⡓⠤⡘⢡⡔⠋⢤⡙⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡑⢢⠑⢣⠄⠒⢂⠠⡔⠊⢄⡘⠥⡈⢒⠄⡈⠠⠜⢀⠱⣈⠥⠈⢢⠄⠂⢁⠤⠒⡈⢑⠠⡘⠄⠂⢁⠠⠘⢂⡠⠑⠤⠐⡉⠄⠀⠡⠄⡈⠃⢀ ⠰⡙⠦⣉⠴⡚⠬⣙⠦⢃⠤⡘⡜⢎⡑⠦⣉⠦⢂⡌⠓⡆⠑⢦⡘⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⣘⠱⠣⣀⠱⢂⡅⠂⢉⢢⡌⠓⡄⠌⢂⠁⢠⠒⣁⠰⡌⠑⠢⢂⢈⠡⠐⢡⠎⡁⠢⢅⠂⣈⠐⠨⠅⠂⢀⡰⠌⡐⠡⠐⠂⢀⠡⠄⠂⢁⠠ ⡥⠊⢥⡘⡼⢋⢤⠳⣉⠢⢒⡎⠑⢦⡙⢢⢙⢢⢌⡑⠣⣌⡘⢦⡜⡌⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢍⡡⠲⢃⡠⠘⢂⡡⠔⠊⢡⡜⠃⢠⡘⢂⢁⡠⠜⢃⡠⠜⡈⠱⢂⠄⠃⡄⠈⠱⢂⡈⠱⢂⠌⠂⠁⢈⠢⣁⠎⡀⡜⠂⡁⠄⡈⠂⠔⢂⡁⠠ ⢢⡙⢣⠵⢎⡸⣜⠣⠐⢣⢆⢍⡣⢎⡙⢦⠘⢣⡄⠚⢣⡔⡙⢦⡙⢆⡉⠰⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢡⡰⠱⢆⠁⢆⡈⠰⢍⡠⠜⠣⡄⠊⢄⡈⠤⠑⢢⡌⠓⡄⠑⠢⣀⠌⡑⠆⡈⠱⢆⡂⠌⠐⢈⠡⠌⢂⠡⠔⢊⠠⢘⠡⠄⠂⢁⠠⢐⠩⢂ ⢦⡙⢦⡱⢜⢮⡑⢨⡱⢌⡱⢎⠱⢮⠕⢢⡌⢑⡢⠝⢡⡴⠛⢤⡙⢆⡃⡄⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⡐⡱⠔⡈⠱⢆⡌⠓⢆⡉⠰⢎⠁⢠⡘⢆⡈⠱⢌⠣⡡⠐⠡⢠⡐⠢⢑⠤⡑⠢⢌⡑⠄⠈⠰⠌⡡⠔⡊⠅⢂⠌⠠⡐⠌⠃⡠⠔⠊⢁ ⣎⡓⢧⣣⡖⢌⠲⢌⡱⠖⣩⡴⡛⢌⡱⠱⢆⡑⢣⡔⡙⢦⠱⣪⠑⢣⡑⣎⠑⠀⠦⠛⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠰⠢⢐⡩⠖⡈⠱⢎⠣⡄⠒⢈⡡⠔⢊⡄⠚⢅⠢⡑⡄⠘⠢⣉⠤⡘⡌⠒⢌⡑⠢⠐⢈⡑⠆⢀⡱⠆⢈⠱⢂⢁⠠⠌⠣⡀⠱⢆⠀ ⣜⡹⢳⣩⠵⣊⠱⢎⣩⠶⣋⡴⠞⣉⡰⠚⣡⡜⠫⣆⡙⢩⢳⢂⡡⠜⡢⠝⢣⡀⣿⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢑⡤⠒⠱⢆⡨⠜⠣⣀⠱⠆⢈⡱⠆⣉⠢⢘⢢⡑⠤⠃⢄⠘⢣⠄⣋⠄⢊⠡⢐⠨⡐⠑⠣⢄⡘⠢⢑⠢⡍⠁⠠⠎⠁⡰⠌⠣⣀ ⡶⡝⡲⡝⠢⢌⠳⢎⣓⡬⢛⣡⠼⢆⡉⠴⢋⠵⢚⣭⠖⡩⠰⣘⠬⡙⢦⠜⢯⠀⡀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢎⡡⡒⢌⠳⣁⠲⣈⠘⢣⡄⠘⢣⡐⢎⡑⢆⡈⡔⠉⢡⡔⠊⣐⠚⢡⢌⡡⠐⢊⡄⠘⠣⢄⡘⢌⡘⠥⠂⠐⠡⢐⠣⡄⠘⢣⡀ ⣵⡟⣌⠱⢣⣌⠛⣥⠺⣝⠦⣘⡱⢎⠡⡱⢎⡱⠷⣊⡵⢆⡨⠜⢎⡙⢦⡜⢚⣬⡘⢁⡂⢿⠲⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣉⡱⢎⡑⡰⠎⢂⡌⠑⡢⠌⢑⡬⠖⡉⢢⡘⠤⠃⡠⠜⢃⢌⠰⢩⡐⢢⡐⠌⢂⡑⠢⢌⠰⢌⡑⠢⢌⡐⢂⡌⠑⢢⡘⠣⣁ ⣱⠾⣍⡑⠬⢗⡣⢮⡗⡩⣴⡙⢣⠤⣘⡳⢎⣱⠾⣍⡲⢍⡆⠎⢎⡙⢮⣙⢞⣍⠲⠈⠠⠀⠫⠊⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⡣⢌⡸⡜⢃⢠⡘⠣⢄⡜⠣⡔⢊⠱⢌⠣⣀⠱⢆⡉⢢⡜⡆⠒⣈⠴⢊⡁⢆⡈⠱⢌⡰⢌⡙⠤⡊⠄⢂⡌⠑⢢⠜⠡⠰ ⣼⠞⢊⠱⡌⠑⠰⢎⣱⡼⣎⠌⠱⣢⡜⢣⣱⢯⡖⢋⢤⠓⢡⢳⢬⡳⢎⡳⢍⡱⠦⢑⠀⠀⠂⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢰⡼⠓⣌⠑⢢⡌⠑⢢⡕⢊⡱⢎⢃⡑⠤⡑⠢⢌⡑⠦⡑⢢⢜⡌⠓⢀⠱⢆⡈⠱⢊⣌⠖⠊⢌⠡⢂⢌⡐⠣⢄⡙⠦⡈ ⣟⢧⣖⡞⡝⠳⢫⣭⡾⡝⢎⡑⠢⢂⡑⢄⡫⢖⣹⠧⣁⠢⣘⠳⣌⢻⣎⠵⣊⡱⢌⡱⢣⠀⠀⢃⠉⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡌⠳⣌⡐⠢⢌⡱⡜⠣⢎⡡⠜⢢⡘⡌⠒⢍⡌⠢⣙⠦⢍⠣⣃⠄⡘⠢⢌⡑⠨⢖⡉⢢⠜⢃⡠⠒⢄⡘⠣⢄⠰⠭⢂ ⢻⣽⣳⣞⡯⣜⠾⣝⠷⣎⡽⣚⡽⢞⡱⣞⠫⣱⠼⢫⡡⠔⡉⠐⠣⢍⣮⡙⢦⢂⡄⡘⢤⠹⠈⠀⠤⣝⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠱⣘⡡⢌⡘⠳⡄⠳⢌⢢⡜⢎⠃⢄⠣⠐⢩⢰⠳⣈⠜⠩⢢⡑⠆⢃⡄⠚⣁⠴⢋⢥⡈⠱⣈⠒⢡⡔⠋⣄⡜⠃⢡ ⣾⡻⣽⣞⢷⣯⣓⣺⡽⣞⡽⡞⢯⣖⡹⢶⣛⣫⡵⢞⣫⡵⢞⡭⠳⠷⢎⢹⢣⢠⡚⠁⢢⠑⢨⠄⠰⡀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⡌⠡⢒⡌⠱⣣⠖⣉⢱⢣⢌⠣⣀⠰⡜⠎⡡⠲⢎⢅⡒⢆⡈⠱⢈⡴⠊⣑⡬⠓⢡⡜⠣⡄⠘⢢⡌⠑⡬⠜⢨⠱ ⣿⣿⣿⣿⣽⣻⣽⢾⣻⡷⣛⢮⣹⣷⣋⣶⠼⣳⡾⢏⣱⡾⢏⣱⡿⢏⣧⡜⢻⣧⡜⣛⢧⡸⡾⠙⠀⢄⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀⡄⠤⡳⢌⡸⠱⣐⠸⣑⠦⡉⠦⣉⠴⢋⣡⠦⣉⠔⠣⡄⠔⢍⡡⡜⠣⢢⡍⠐⢢⡑⢆⡌⠒⢌⠳⣌⠘ ⣿⣯⣳⣷⣿⣿⣾⣿⣿⢿⣿⢿⣿⡻⣻⣽⣟⢯⣏⢭⣳⢮⣳⣜⠾⣛⢧⣜⡻⢧⣜⡻⢥⡾⢏⣣⠳⠄⡀⠣⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⣘⡸⡜⠆⡉⠦⢉⢦⡌⡜⠚⣩⠖⢃⡡⠒⣁⡴⠚⢡⡼⢋⢤⡘⡱⢆⡁⠱⢣⣄⡜⠣⢆⡑ ⡴⣏⣤⣞⢯⣳⣶⣻⣳⣯⣻⣷⣯⣟⣾⣿⣿⡷⢿⣿⡾⣟⢻⣽⢟⣫⢷⣏⢧⢳⣯⡝⢳⣲⢟⣫⡵⠹⠀⠒⠴⠊⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⡄⠜⡩⢆⠑⢦⡋⢆⢎⡜⠣⢌⡱⠬⡑⠢⣙⠦⡙⢣⠴⢋⣡⡔⠚⣃⢁⡰⠚⣡⡜⢋⣡⠰ ⣌⠓⣌⠦⢋⣡⡜⢣⣱⢮⡯⣎⡽⢳⣷⣎⡽⣯⢾⣷⣵⣿⣟⣾⣿⣷⢿⣿⣻⣻⢿⡻⣛⣭⠾⣏⡵⡟⢣⡈⠃⡈⣄⢙⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⠁⢀⠀⠀⡄⠏⢀⡰⡙⢆⠩⢱⢦⡙⢣⡬⠜⡢⠑⢢⠜⢣⡑⢢⡭⠒⣩⡔⠙⢡⡰⡜⠎⣉⠖⢊⡬⡘ ⡭⠳⣉⢲⢝⡡⡝⢢⡕⠎⢃⡤⡘⡹⢖⣌⡱⢮⣕⣭⣶⡱⢾⣭⣻⣭⡿⣯⣧⣞⣻⣽⣿⣻⣿⣿⡿⡿⢿⢳⡈⣄⣤⠨⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⢀⠠⠐⠄⠀⠁⠀⠀⡆⠆⣉⡠⠜⢣⡔⡋⢴⡘⢺⢇⡌⢋⡠⢖⡉⢰⡹⣕⠣⢬⡝⡢⠜⡡⡜⠎⢍⡢⢜⢣⢆⡘ ⡼⠾⣙⡶⡝⠮⡹⣜⣫⡕⢪⣗⡌⠻⣆⡙⢦⡙⢢⠵⣊⡱⢎⣓⠤⣜⠶⣍⣳⣬⢻⣵⠾⣵⣎⡽⡼⣟⡷⣯⢿⠈⠤⠳⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠛⠲⣄⢁⢠⠀⠀⠂⠀⠠⠂⠀⡄⢎⠀⡰⠈⠐⡈⠀⣌⠵⢎⢣⢌⠱⣉⢤⡜⡎⡙⡲⢎⡕⡙⢦⡉⢢⠜⢣⢒⢭⡖⢋⢤⡜ ⣟⢮⣳⣯⡗⢮⣝⡻⢮⣛⣵⠻⣭⠳⢮⣙⢼⡹⣜⠳⣌⠳⢦⡙⢮⣉⠴⣋⠥⣊⠥⢒⣣⣑⢴⣚⣎⡱⢾⣏⠳⣽⠑⠀⣓⡈⢿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⡴⣢⣒⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⠐⠀⠀⣄⡳⢎⡙⠦⠙⢢⡔⡊⢝⢣⣑⠢⠂⣁⠂⢄⠡⢦⣍⠳⡡⢼⡋⢄⡜⢫⡥⢊⡵⢋⣤⡜ ⢾⣟⣫⢶⣻⣗⢯⡼⣞⠽⣻⠷⣭⡾⡝⢫⣵⡟⣎⡱⣼⡹⢶⣙⠷⣋⡬⢛⢣⢣⣱⡬⢛⡤⡚⢇⢌⡱⠜⢩⡴⡙⢦⢩⠀⢂⠀⣧⣷⠮⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⠨⣐⠀⡀⢀⠀⠀⠀⠭⡈⠀⠀⠀⠀⠀⢀⠀⠀⠀⡄⢫⢦⡙⢮⡓⢧⣌⠳⢣⢱⡳⢌⠵⢊⠩⢎⡁⠜⡆⡙⢣⡬⠒⣀⠜⠂⢠⣌⡱⠶⣏⡆ ⣟⢯⣳⣿⣏⣳⢽⣯⣞⣟⡝⢻⣼⡿⣖⡯⣝⠿⣎⣳⡷⢏⣮⡝⢳⢮⣝⠳⣮⡝⡳⣎⠝⣣⢍⢲⡜⠭⡔⠹⡥⠒⢥⡚⢌⠱⢈⠂⢙⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠛⣐⣀⠀⡀⠄⠀⠀⠀⠀⠈⣀⣀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠀⢳⣎⠳⣌⠽⢣⣜⠳⣩⡴⠻⣌⡹⠶⢎⡝⢪⡝⢦⡘⢳⢎⢎⡙⠌⠣⢈⠩⡐⠬⢓⣣ ⢿⣳⣻⢷⣻⣯⡳⢽⣾⡷⣛⡶⣟⣗⣯⣞⠽⣮⣝⣻⡽⢮⣟⣣⡽⢞⣫⡽⢞⣫⡵⢞⣛⢥⡸⢾⣎⡜⡹⠶⣊⡱⢮⠎⣑⠲⢎⠩⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⡀⣅⡤⢀⠒⡀⣀⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢃⣤⢛⣬⡛⢧⡜⢮⡝⣎⠵⣚⡱⢼⢮⣙⠶⣛⢧⣌⠷⢎⢧⡎⡗⢣⡳⢎⡹⡜⢞⡥ ⢿⣯⡼⣻⡾⣟⣯⡶⣟⣯⡵⣻⣵⢿⢯⣮⣛⣾⣝⡶⡽⣞⡽⣺⡽⣟⢧⡺⢷⣏⡶⡞⢏⣧⡜⢯⢧⣎⠵⣚⢮⣙⠵⢫⣡⠶⢇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⣒⡴⣬⢄⠈⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⣿⠿⣟⠻⢫⡽⣎⠭⣣⣜⡝⣺⡝⢮⡜⢶⡫⢲⣞⢫⣜⢻⣭⢳⣭⡳⢏⢣⢮⣙⣲ ⢻⣽⣾⢻⣽⢻⣽⣷⢻⣽⣿⡞⣽⢻⣷⣯⢹⣽⣾⣷⡟⣮⡞⡟⣮⡝⢻⣶⣯⡜⣿⢣⣼⢻⣧⢸⣽⢪⣷⡎⢫⡖⡜⠛⣦⡞⢠⠀⠀⠒⠀⠑⠀⠀⠂⠐⡆⣴⢠⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢳⣼⣽⣾⣿⣾⣿⣿⢻⣿⠛⡟⠋⣭⣦⡝⢫⣵⣮⠛⣧⡎⡜⢹⣶⠚⣵⢺⣷⡍⣶ ⢾⣻⣽⢿⣯⡷⣞⣽⠿⣯⠷⣯⣞⡽⢯⣽⡾⣛⣽⣾⡟⣧⣞⢟⣧⡽⡳⣯⢞⣯⡗⢮⣝⡼⢻⣧⢟⣇⢳⢧⢣⣭⡞⡙⢧⣏⠀⠀⠀⠄⠂⠀⠄⠤⠬⣠⣂⠐⠠⠀⠀⠁⠀⠀⠀⠀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡤⣏⢣⣗⣋⣭⡳⣶⣞⣟⣯⣯⣾⣿⣷⣿⠿⣻⢿⣛⢻⣮⡝⢳⣬⣚⣼⡟⢫⣝⡮ ⣽⢿⣯⡽⣻⣽⢾⣽⡾⣟⣳⢽⣾⡷⣜⡿⣞⢯⡷⣟⣏⣳⡼⣻⣗⡯⣛⢶⡯⣜⡾⣝⡳⣜⡻⢧⡳⣎⡹⣳⢯⡕⠮⣙⢦⡜⠘⠢⢔⠣⠝⡤⠭⠁⡒⣉⠉⡁⠄⡀⠈⠐⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⠀⠀⣄⡰⢦⣤⠾⢏⢳⣯⣏⣹⢷⣮⣹⣾⣟⣽⣿⣿⣿⣿⢿⣿⠿⢯⡟⢎ ⣾⡽⢿⣯⠷⣻⣷⣞⣟⣳⣽⡾⣟⣳⣽⢯⣧⣞⣹⢾⣳⡽⣯⣗⡭⢾⡹⣽⢳⣧⣝⡺⢽⣧⡝⣲⡽⢧⣚⢧⡜⡳⢎⡱⢦⣙⢮⠑⡈⢃⠑⣥⡺⢖⠐⠂⠀⠤⠤⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⡔⢯⣦⡛⢵⣺⡽⣫⣜⢿⡦⣾⣵⣻⣾⣯⣽ ⣽⣻⢷⣻⣽⡿⣧⣞⣻⣽⡾⣟⣭⣾⡻⣽⣳⣞⡷⣝⣾⡟⣭⡾⣛⢧⣹⡼⣻⣧⡞⢗⣫⣵⡛⣯⡜⢳⣹⢶⡭⢳⣬⣛⣥⠞⣎⠳⣌⠻⠀⢂⠕⠮⣷⢵⠩⠀⠤⣈⠀⠄⠀⠂⠀⠀⠀⠂⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠈⠘⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡂⠘⢣⡌⡓⣌⠱⢮⣣⣜⣞⣧⣏⡶⢟⣫⢵ ⣾⡽⣿⡽⡾⣳⣾⣟⣞⡻⣷⢳⣾⣟⢳⣿⣚⣽⣻⡷⣝⢻⣼⢟⣫⣶⡟⣏⡼⢻⣧⣜⡻⣭⠼⢻⣥⢼⡻⢦⣝⠳⣬⡚⢧⡜⢏⢣⢦⡛⢦⠙⢀⡢⢏⡳⣍⣷⠹⠈⢀⠀⠀⢀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⡡⢞⠣⢌⠹⢣⠌⠪⠜⠪⠝⠂⠙⠀⠚⣆⠓⡬⠖⡓⢍⠧⢊⡱⢜⢣⡱⢮⣓⢇⣡ ⣽⣾⠿⣳⣽⣾⣟⢯⣽⣞⣻⣶⣟⣞⣵⠿⣭⣟⡳⢽⣳⡼⣟⢲⣽⣻⢧⢻⣭⡼⣻⡼⢟⣫⡵⣛⣧⡜⢫⣵⡞⢣⣜⣛⢥⡼⢛⣡⢶⡙⢦⡙⣦⠘⡈⢢⣔⢷⠬⠲⠈⠀⠀⠀⠐⠀⠀⠀⠐⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⢋⢦⡘⢳⣍⠱⢳⢎⢥⡞⢇⡙⢦⡙⢧⣋⣥⠞⣋⢥⡲⡝⠫⢧⣊⡕⢫⡬⠞⣩⡖⠎ ⣻⣷⣟⣯⡷⣟⢯⣹⡾⣟⣳⣾⣵⣟⣯⡷⣞⡽⣯⡻⣶⣛⣹⣾⡟⢧⣳⢞⣯⡝⢺⣽⡳⢏⣱⡾⣋⡵⢺⣭⡗⢣⣞⠧⣙⡴⡛⣡⡼⡓⢥⡰⢻⣌⠳⡨⠌⠄⡧⢯⡙⠢⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡛⣛⢑⠡⠖⡫⢕⣪⡜⢫⡔⡹⠶⣋⢦⡜⢮⡙⢦⡹⢏⠳⣩⠶⢛⣥⠼⢮⡙⢹⣮⡝⠞⣍⠶⣋⡵⢎ ⣽⣻⣽⣻⣽⡿⢯⣯⣟⣧⡾⣟⣯⡷⢮⣻⣶⣛⢶⡻⣷⢮⡽⣯⡝⣮⢷⡯⣜⠾⣝⡼⢻⣵⡾⢏⣱⡾⢏⣣⡵⢮⡝⢧⡣⣜⠹⣲⡝⢣⣩⡴⠞⣍⠲⣏⡆⠋⠁⡒⣅⢲⠱⠌⠘⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠉⠏⡿⣶⣴⢃⠜⠹⣬⠳⢣⢧⣍⠞⣣⡜⡼⢛⣥⡞⢎⣙⣴⡜⠻⢦⡹⣧⡘⣽⡝⢮⣙⠷⢇⢧⡎⢳⣬⢞⡣⢕ ⣽⢿⣯⡽⣻⢾⣻⢿⣳⣾⣟⢯⣳⣿⣞⣳⣼⣻⣷⢫⣿⢖⣻⢞⣳⣟⢮⢻⣵⢞⣹⡿⢎⣹⡾⢏⣱⡼⢟⣩⡷⢎⡳⢬⢳⡴⡛⢦⡜⠻⣌⡼⠞⣋⡤⢛⣤⠛⢥⠲⡙⡄⠆⠌⡐⣌⠷⠛⠻⢛⠙⠊⠁⠒⠋⠞⡾⢿⣄⣨⠎⡱⡜⢫⡴⠞⣍⡳⣌⠳⢫⢖⢫⣕⠮⢓⣬⡟⢎⡹⣳⣎⠧⣹⡶⣙⡷⢎⡳⣜⡳⣛⣣⢼⣛⢶⣛⢧⣬⡳ ⣿⡽⣾⣟⢯⣽⢾⡻⣷⣟⢯⣳⣽⠿⣯⢷⣯⣝⡾⢯⡽⣯⢫⣷⣏⡳⢼⣻⡾⣝⠷⢫⣯⡗⢮⣝⡳⣎⠳⣜⡹⢶⢫⣜⡽⣎⠳⣬⡜⠳⣌⠷⢊⢧⣋⠧⣆⡙⢣⡴⡙⢲⢩⠳⣀⡌⠀⣕⣮⣶⣿⣿⣭⣺⠛⣔⣤⢙⡣⢎⣑⠶⣍⠳⣡⠶⣙⠶⣍⠶⢋⣦⠝⣣⡜⢫⣔⠻⣜⠽⣣⣜⢽⡳⢮⣝⡳⣏⢳⣝⢮⡹⢾⣏⠳⣮⢛⣲⣞⡜ ⢿⣯⣽⣻⢷⣻⣷⣟⣯⡷⣞⣽⡿⢯⣳⡾⣟⡟⣮⢟⣫⢷⣞⣯⡝⣳⣝⢯⡼⣞⡻⢧⣜⡻⢮⣝⡳⣎⢳⣜⡻⣎⠳⣬⠟⣆⠳⣖⡎⢓⣬⠳⣌⢳⠧⣋⢦⡙⢲⣏⡌⠶⣉⠲⣬⠞⣍⠦⡘⢓⠌⡳⣈⣓⠌⡛⢦⡓⢦⡙⣱⠶⣉⠶⣋⢦⡙⢦⣙⡳⢎⣣⡝⢣⣱⢞⣭⠳⣦⡛⢧⣜⡫⢷⣎⡹⢶⣛⢧⡸⢾⣛⡼⢞⣫⢵⢺⣹⢷⣎ ⣾⣟⣯⡽⣿⡷⣯⡾⣟⣳⣿⣞⡷⢯⣻⣽⢯⡽⣯⢞⣯⢳⣼⢻⣳⣼⡟⢫⣽⢮⣹⢾⣹⢷⣎⡹⢷⣎⢫⢵⢫⣱⢻⣥⡚⣭⡱⢮⣍⠳⣎⡡⢞⣩⠲⢝⣢⠝⣢⠝⣎⡕⢎⢣⣔⠞⣉⠶⣌⠳⣌⠳⣍⠲⣍⠖⣡⡸⢧⡘⡹⢧⣊⡱⢚⣬⡛⢥⡸⠷⣎⢎⡱⡹⢶⡝⢫⣱⣼⡹⢶⣏⢣⣹⢶⣛⣧⡜⢻⣮⣝⠽⣮⣝⢺⣽⡼⣟⡧⢎ ⣿⢷⣻⣽⡾⣽⢿⣯⣳⣽⡾⣟⣶⢯⡽⡿⢯⡷⢯⣝⣺⣷⡗⢮⣳⡽⢶⢯⡵⣟⡧⢞⣫⢷⣎⡹⣹⢷⣎⡹⢶⣩⠼⣹⠶⣝⡣⢞⣙⠶⢏⣡⠶⣘⡼⡓⢦⡘⢶⡍⠖⣡⠞⣡⡴⠞⡘⢳⣌⠳⣌⡲⠜⣎⡙⢦⣊⡜⢫⡥⠞⢣⢎⣩⠶⣍⠳⣣⡜⢫⢧⣎⣙⡵⡮⡝⠳⣦⡟⣋⡵⢯⡮⡝⣮⡝⢷⣏⡱⢾⣫⡵⣞⡵⢞⣳⡽⢞⣫⢵ ⣿⣯⢾⣿⣯⣟⡽⣻⣽⡿⣞⣻⣽⢿⣯⡽⣫⡽⢾⣳⣞⣻⣧⣟⣣⡽⣻⣧⣞⡹⢿⣧⢟⣣⢷⣎⡻⢧⣜⡻⢧⢸⣽⡞⡧⡝⢪⡵⡚⢧⢓⣬⠷⣊⡴⢛⣬⡜⢫⣑⢮⣋⠦⣚⡥⠞⣌⠳⣌⠱⣎⢕⡪⢝⡢⢝⢣⢦⡙⢮⡜⢛⢦⣙⢦⣓⡱⢮⡝⢣⣜⠷⣋⡵⠮⣣⡹⢶⢮⡝⡳⢞⢯⣜⡾⣝⡻⢧⣹⢷⢯⣳⣟⣧⡞⣯⡞⢯⣹⡼ ⣿⣯⣟⢿⣯⣟⡾⣟⡽⢿⣯⢟⣯⡽⢾⣻⢷⣯⣟⣭⢿⣳⣽⡿⢯⢶⡾⣛⢷⣝⠷⣯⡜⣻⢳⣯⡜⢻⣧⡜⢻⣧⡜⢟⣩⠷⣎⡩⢼⣪⠵⣜⠳⣎⣍⠳⣎⠝⢣⣘⠽⢒⢳⣌⢳⠧⣎⠣⣕⠪⣜⠱⢮⡙⢦⡩⢳⢦⡜⠞⣍⠳⣣⡝⣣⢥⡳⢜⣮⡛⣇⢮⡝⡳⣜⢯⡱⣺⢷⣎⡽⡞⢫⣵⢟⣧⡜⣻⡽⢷⣫⡽⢳⣾⡝⢾⣫⢷⡮⣜ ⢿⣽⢿⣻⣿⢯⣷⢯⣾⡽⢾⣻⣽⡾⣟⣳⣾⣛⢷⣯⡞⣽⡿⢏⣳⣽⣟⢮⣻⡵⢾⡽⣟⣣⡼⢟⣮⡝⣹⡷⢎⣹⡷⢎⡳⢣⢶⣏⡜⣝⡲⡝⢪⢶⣍⠲⢮⡓⢭⡴⡛⡬⢛⣡⡸⢳⢎⣙⠶⢎⡝⢣⢦⡙⢦⣙⡱⢮⣕⠮⣙⡱⢶⡙⢳⣬⡹⡞⢧⡜⢫⢶⣋⡵⡞⢫⣵⡞⢳⣼⡟⢧⣞⡽⡞⢯⣟⢫⣵⡿⣏⡼⢿⣯⡼⣟⣹⢷⣮⣛ ⣿⣽⣻⢿⣷⣻⣿⣳⣿⣞⣿⢯⣻⣾⣟⣳⣾⣟⣻⢷⣯⣞⡽⣳⣟⡯⢳⣾⢟⣮⡽⢻⣳⢷⣧⡞⢟⣣⡼⢻⣧⡜⢻⣬⢻⣭⣜⠻⣬⡛⢭⢮⣍⢳⣡⡽⢏⢣⡱⣜⠳⣜⠞⣣⡕⢫⢦⡝⡣⢜⡹⢲⣬⡛⢦⡝⡦⡜⣛⠶⣋⡱⢼⡹⢳⣬⡛⢭⣳⡭⢞⣫⣜⡻⢧⣜⡻⣎⢺⣵⡻⢶⣟⡞⣜⢿⡳⣹⣽⡻⢷⣮⡽⢻⣷⢯⣹⣾⣟⢣ ⣹⣿⣯⣽⣿⣽⡿⣯⣳⣽⣾⣟⢯⣯⣟⣯⣟⣧⡼⣻⢷⣭⣞⣯⡵⣞⣫⣵⢞⣯⣕⡻⣭⣳⣭⢞⣫⢵⣯⡜⣹⡷⢎⣭⠷⣋⢧⢮⣕⠮⣙⢧⣌⡱⣸⠷⢊⣱⡼⡝⢪⡵⢎⣩⡴⠹⣦⡙⢦⡜⡓⢧⣌⠳⣬⡓⢧⣍⠲⣭⡜⡳⣍⡹⢧⣌⠼⣫⢥⡼⡯⢓⣭⢳⣭⡷⢏⣬⣟⣎⡹⣽⢮⣝⣯⣏⣭⡷⣎⡽⣹⣷⣎⡽⣷⡮⣟⣧⣛⣽ ⣿⣿⣿⣿⡿⣿⢿⣿⣿⣻⣿⣿⣟⢿⣻⢿⣻⣿⣟⣻⣿⣛⣿⣟⣯⣟⣟⣯⣟⣫⣽⡿⣏⣹⢿⣏⣹⡽⢻⣭⡽⢻⣭⢟⣩⡽⢫⣭⡽⢏⣩⢽⣩⣽⡎⢹⣹⣭⡞⢋⣭⡳⢎⣙⣭⡳⣎⡙⣳⣌⡹⢳⣍⢳⣎⣙⢮⡝⢮⣙⡽⢮⡝⡹⢳⣭⣞⡝⣯⡗⢏⣩⡽⢻⣭⡻⢯⣝⢻⣯⣝⡻⣯⣛⢽⣻⣽⣻⣽⣻⣟⣻⣿⣟⣻⣿⣟⣯⠷⣞